1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
UkoKoshka [18]
3 years ago
14

If a b and c are three different numbers which of the following equations has exactly one solution?

Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Option B is correct.

Step-by-step explanation:

We need to identify which of the following equations has exactly one solution.

We will solve each equation to find the answer

A. ax+b=ax+b

Solving and finding value of x:

ax+b=ax+b\\ax-ax=b-b\\0=0

This equation has infinite number of solutions because both sides are equal to 0

B. ax=bx+c

Solving and finding value of x:

ax=bx+c\\ax-bx=c\\x(a-b)=c\\x=\frac{c}{a-b}

This equation has exactly one solution

C. ax+b=ax+c

ax+b=ax+c\\ax-ax=c-b\\0=c-b

This equation has no solution because both sides are not equal.

So, Option B is correct.

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/2386054
  • brainly.com/question/2115716
  • brainly.com/question/11306893

#learnwithBrainly

You might be interested in
Evaluate the following integral using trigonometric substitution.
wariber [46]

Answer:

Step-by-step explanation:

1. Given the integral function \int\limits {\sqrt{a^{2} -x^{2} } } \, dx, using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as asin \theta i.e x = a sin\theta.

All integrals in the form \int\limits {\sqrt{a^{2} -x^{2} } } \, dx are always evaluated using the substitute given where 'a' is any constant.

From the given integral, \int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx where a = 7 in this case.

The substitute will therefore be   x = 7 sin\theta

2.) Given x = 7 sin\theta

\frac{dx}{d \theta} = 7cos \theta

cross multiplying

dx = 7cos\theta d\theta

3.) Rewriting the given integral using the substiution will result into;

\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta  } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)}   } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)}   }}} \, 7cos\theta d\theta\\

= \int\limits343 cos^{2}  \theta \, d\theta

8 0
3 years ago
A system of equations with two parallel lines, how many solutions are there?
lesya [120]

Answer:

2 sellioutions

Step-by-step explanation:

idk

8 0
3 years ago
I need help like really bad this is due today
8090 [49]

Answer:

x=7  y=10 is the pair for the fourth line hope this helps

Step-by-step explanation:

the x side is adding by 15 and the y side is decreasing by 10 for every pair

3 0
3 years ago
Can y’all help me with this I’m struggling
hodyreva [135]
1. I don’t know :( sorry

2. No solution because they are parallel lines and do not intersect
7 0
2 years ago
Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
iren2701 [21]
<span> If the model is good, then both points will check in the equation. Substituting 8 for </span>x <span>and 5 for </span>y<span> in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the </span>y<span>-intercept should be –3/5.</span>
7 0
3 years ago
Read 2 more answers
Other questions:
  • What's the answer to this
    7·2 answers
  • Please explain how to get this answer.
    12·1 answer
  • Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =
    5·2 answers
  • Joe is serving ice cream at a birthday party. He buys 13 1/2 pints of ice cream. He serves 3/4 of a pint to each guest. How many
    7·1 answer
  • State the domain and range of the following function.
    6·1 answer
  • I also got stuck on this one.
    10·2 answers
  • H = (500 - 260) ÷ 2<br> Please help
    5·2 answers
  • Find the value of x in the figure below. <br> 26<br> 56<br> Х
    15·1 answer
  • 13 less than 8 times a number is the same as the number plus 1
    6·1 answer
  • FINAL EXAM QUESTION 2 HELP! I HAVE 50 QUESTIONS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!